Generate Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is a mathematical expression that has the same value as another expression, even though it may look different.

Front

How do you distribute in an expression like 3(m + 3)?

Back

To distribute, multiply each term inside the parentheses by the number outside: 3(m) + 3(3) = 3m + 9.

Front

What is the process of factoring an expression?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

Write an equivalent expression for 5w - 15.

Back

5(w - 3).

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Write an equivalent expression for 2x + 4y.

Back

2(x + 2y).

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Is 4n - 2 equivalent to 2(2n - 1)?

Back

Yes, they are equivalent because when you distribute 2 into (2n - 1), you get 4n - 2.

Front

Write an equivalent expression for 20n - 4m.

Back

4(5n - 1m).

Front

What is the first step in simplifying an expression?

Back

The first step is to look for and combine like terms.